State True or False.

The number 120 can be expressed as the sum of twin primes.

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True

False

answer is A.

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Detailed Solution

The given statement is the number 120 can be expressed as the sum of twin primes.
We know that the numbers with only two factors, one and itself; are called prime numbers.
In the number system, there exists a pair of prime numbers such that the difference between two consecutive prime numbers is exactly 2. Those pairs are said to be twin primes.
When we spot the twin primes, we deduce that these prime numbers appear consecutively in the number line and have one prime number in the pair either 2 less or 2 more than the other.
We see that there are prime numbers before 120 and they are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113.
We observe that the possible Pairs of twin primes before 120 are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71,73), (101,103), (107,109).
Now, we detect a pair of twin primes from the above such that their sum is exactly equal to 120.
We find that 120 can be expressed as the sum of twin prime numbers (59, 61).
Therefore, the given statement is true.
Hence the correct answer is option (1).

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